Answer
$(2x-1)(3x-1)$.
Work Step by Step
The given polynomial is
$=6x^2-5x+1$
Rewrite $-5x$ as $-3x-2x$.
$=6x^2-3x-2x+1$
Group the terms.
$=(6x^2-3x)+(-2x+1)$
Factor each group.
$=3x(2x-1)-1(2x-1)$
Factor out $(2x-1)$.
$=(2x-1)(3x-1)$
Hence, the factor of the polynomial is $(2x-1)(3x-1)$.